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Finding the Fourth Proportional to 33,902.40, 50,833 and 15,178.96

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Solution

The fourth proportional to 33,902.40, 50,833 and 15,178.96 is: 22,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,902.40 : 50,833 = 15,178.96 : x
  2. Step 2: Convert to fraction form
    33,902.40/50,833 = 15,178.96/x
  3. Step 3: Cross multiply
    33,902.40x = 50,833 × 15,178.96
  4. Step 4: Simplify right side
    33,902.40x = 771,592,073.68
  5. Step 5: Solve for x
    x = 771,592,073.68/33,902.40
  6. Step 6: Final answer
    x = 22,759.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.